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Finding the Fourth Proportional to 259,019.20, 388,528.80 and 109,428.40

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Solution

The fourth proportional to 259,019.20, 388,528.80 and 109,428.40 is: 164,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,019.20 : 388,528.80 = 109,428.40 : x
  2. Step 2: Convert to fraction form
    259,019.20/388,528.80 = 109,428.40/x
  3. Step 3: Cross multiply
    259,019.20x = 388,528.80 × 109,428.40
  4. Step 4: Simplify right side
    259,019.20x = 42,516,084,937.92
  5. Step 5: Solve for x
    x = 42,516,084,937.92/259,019.20
  6. Step 6: Final answer
    x = 164,142.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.